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Mutually Catalytic Super Branching Random Walks: Large Finite Systems And Renormalization Analysis (Memoirs of the American Mathematical Society)

J. T. Cox, Donald Andrew Dawson, Andreas Greven, Jeff Groah, Blake Temple




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 |  Amer Mathematical Society |  2004-07-01 | Original language:English |  9.96 x.24 x7.01l,.50 | Binding: Mass Market Paperback | 97 pages

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We study features of the longtime behavior and the spatial continuum limit for the diffusion limit of the following particle model. Consider populations consisting of two types of particles located on sites labeled by a countable group. The populations of each of the types evolve as follows: each particle performs a random walk and dies or splits in two with probability $\frac{1} {2}$ and the branching rates of a particle of each type at a site $x$ at time $t$ is proport...

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